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| 具有时滞的扩散BAM神经网络的指数稳定性 | |
| 引用本文： | 蔡玲霞,秦伶俐,胡洪晓,王凯.具有时滞的扩散BAM神经网络的指数稳定性[J].纯粹数学与应用数学,2013(1):40-49,65. |
| 作者姓名： | 蔡玲霞 秦伶俐 胡洪晓 王凯 |
| 作者单位： | 1. 新疆广播电视大学,新疆 乌鲁木齐 830049 2. 新疆财经大学应用数学学院,新疆 乌鲁木齐 830012 3. 上海理工大学理学院,上海 200093 4. 新疆医科大学医学工程技术学院,新疆 乌鲁木齐 830011 |
| 基金项目： | 国家自然科学基金(11201399);新疆自治区高校科研计划(XJEDU2012S20) |
| 摘 要： | 研究一类具有反应扩散的滞后BAM神经网络平衡点的存在性唯一性和全局指数稳定性.运用拓扑同胚映射,Lyapunov泛函以及多参数方法,得到关于平衡点存在唯一性和全局指数稳定性的充分条件,将相关文献的结果推广到正整数r范数上. |
| 关 键 词： | BAM神经网络 Neumann边界条件 全局指数稳定性 |
Global exponential stability in BAM networks with delays and reaction-diffusion terms |
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| Cai Lingxia,Qin Lingli,Hu Hongxiao,Wang Kai.Global exponential stability in BAM networks with delays and reaction-diffusion terms[J].Pure and Applied Mathematics,2013(1):40-49,65. | |
| Authors: | Cai Lingxia Qin Lingli Hu Hongxiao Wang Kai |
| Institution: | 1.Xinjiang Radio & TV University,Urumqi 830049,China;2.Department of Applied Mathematics,Xinjiang University of Finance and Economics,Urumqi 830012,China;3.College of Science,University of Shanghai for Science & Technology,Shanghai 200093,China;4.College of Medical Engineering and Technology,Xinjiang Medical University,Urumqi 830011,China) |
| Abstract: | In this paper,the existence,uniqueness and global exponential stability of equilibrium point for BAM with delayed and reaction-diffusion cellular neural networks with are discussed.Some new suffcient conditions are obtained by using topology homeomorphism mapping,Lyapunov functional method and many real parameters techniques.We extended the corresponding literature results to the integer r norm. |
| Keywords: | BAM neural networks Neumann boundary condition global exponential stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |